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One of the reasons why the double-slit experiment has attracted so much attention is that it represents a physical manifestation of the principle of quantum superposition. The observation that individual particles can create an interference pattern implies that the particles must travel through both slits at the same time. This ability to occupy two places, or states, at once, is the defining feature of quantum superposition.
Consider a particle with energy E in the inner region of a one-dimensional potential well V(x). ..... In classical mechanics, if E < V (the maximum height of the potential barrier), the particle remains in the well forever; if E > V , the particle escapes. In quantum mechanics, the situation is not so simple. The particle can escape even if its energy E is below the height of the barrier V , although the probability of escape is small unless E is close to V .
Quantum Superposition and Reality: Realities Are Separate But Linked. Quantum physics teaches us that the realiyy we experience is but one wave out of a enormous number of wave possibilities. The wave possibilities is the quantum superposition which contains all the possibilities.